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Implements anisotropic magneto-mechanical coupling #70

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Merged
merged 1 commit into from
Nov 12, 2025
Merged

Implements anisotropic magneto-mechanical coupling #70

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19 changes: 18 additions & 1 deletion src/PhysicalModels/MagnetoMechanicalModels.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@ struct MagnetoMechModel{MG<:Magneto,MC<:Mechano} <: MagnetoMechano
new{MG,MC}(magneto, mechano)
end

function (obj::MagnetoMechModel)(Λ::Float64=1.0)
function (obj::MagnetoMechModel{<:Magneto,<:IsoElastic})(Λ::Float64=1.0)
Ψm, ∂Ψm_u, ∂Ψm_uu = obj.mechano(Λ)
Ψmm, ∂Ψmm_u, ∂Ψmm_φ, ∂Ψmm_uu, ∂Ψmm_φu, ∂Ψmm_φφ = _getCoupling(obj.magneto, obj.mechano, Λ)

Expand All @@ -28,9 +28,26 @@ struct MagnetoMechModel{MG<:Magneto,MC<:Mechano} <: MagnetoMechano

return (Ψ, ∂Ψu, ∂Ψφ, ∂Ψuu, ∂Ψφu, ∂Ψφφ)
end

function (obj::MagnetoMechModel{<:Magneto,<:AnisoElastic})(Λ::Float64=1.0)
Ψm, ∂Ψm_u, ∂Ψm_uu = obj.mechano(Λ)
Ψmm, ∂Ψmm_u, ∂Ψmm_φ, ∂Ψmm_uu, ∂Ψmm_φu, ∂Ψmm_φφ = _getCoupling(obj.magneto, obj.mechano, Λ)

Ψ(F, ℋ₀, N) = Ψm(F,N) + Ψmm(F, ℋ₀, N)
∂Ψu(F, ℋ₀, N) = ∂Ψm_u(F,N) + ∂Ψmm_u(F, ℋ₀, N)
∂Ψφ(F, ℋ₀, N) = ∂Ψmm_φ(F, ℋ₀, N)
∂Ψuu(F, ℋ₀, N) = ∂Ψm_uu(F,N) + ∂Ψmm_uu(F, ℋ₀, N)
∂Ψφu(F, ℋ₀, N) = ∂Ψmm_φu(F, ℋ₀, N)
∂Ψφφ(F, ℋ₀, N) = ∂Ψmm_φφ(F, ℋ₀, N)

return (Ψ, ∂Ψu, ∂Ψφ, ∂Ψuu, ∂Ψφu, ∂Ψφφ)
end


end



function _getCoupling(mag::Union{IdealMagnetic,IdealMagnetic2D}, ::Mechano, Λ::Float64)
Ψmm, ∂Ψmm_∂u, ∂Ψmm_∂φ, ∂Ψmm_∂uu, ∂Ψmm_∂φu, ∂Ψmm_∂φφ = mag(Λ)

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41 changes: 41 additions & 0 deletions test/TestConstitutiveModels/PhysicalModelTests.jl
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Expand Up @@ -644,6 +644,47 @@ end
end


@testset "HardMagnetic_SoftMaterial3D_aniso" begin

∇u = TensorValue(1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0) * 1e-3
∇φ = VectorValue(1.0, 2.0, 3.0)
N = VectorValue(0.0, 0.0, 1.0)

modelMRiso = MooneyRivlin3D(λ=3.0, μ1=1.0, μ2=2.0)
modelMRaniso = MooneyRivlin3D(λ=3.0, μ1=1.0, μ2=2.0)
modelMR=modelMRiso+modelMRaniso
modelID = HardMagnetic(μ0=1.2566e-6, αr=40e-3, χe=0.0, χr=8.0; βmok=1.0, βcoup=1.0)
modelmagneto=modelMR+modelID
Ψ, ∂Ψu, ∂Ψφ, ∂Ψuu, ∂Ψφu, ∂Ψφφ = modelmagneto()
K=Kinematics(Mechano,Solid)
F, _, _ = get_Kinematics(K)
Km=Kinematics(Magneto,Solid)
H0 = get_Kinematics(Km)


# ∂Ψu_(F) =TensorValue(ForwardDiff.gradient(x -> Ψ(x, get_array( H0(∇φ)),get_array(N) ), get_array(F)))
# ∂Ψφ_(H) =VectorValue(ForwardDiff.gradient(x -> Ψ(get_array( F(∇u)), x,get_array(N) ), get_array(H)))
# ∂Ψuu_(F) =TensorValue(ForwardDiff.hessian(x -> Ψ(x, get_array( H0(∇φ)),get_array(N) ), get_array(F)))
# ∂Ψφu_(H) =TensorValue(ForwardDiff.jacobian(x -> ∂Ψφ(x, get_array( H0(∇φ)),get_array(N) ), get_array(F(∇u))))
# ∂Ψφφ_(H) =TensorValue(ForwardDiff.jacobian(x -> ∂Ψφ(get_array( F(∇u)), x,get_array(N) ), get_array(H)))

# norm(∂Ψu_(F(∇u)))
# norm(∂Ψφ_(H0(∇φ)))
# norm(∂Ψuu_(F(∇u)))
# norm(∂Ψφu_(H0(∇φ)))
# norm(∂Ψφφ_(H0(∇φ)))


@test Ψ(F(∇u), H0(∇φ), N) == 0.003187725760804994
@test norm(∂Ψu(F(∇u), H0(∇φ), N)) == 0.4966662732306754
@test norm(∂Ψφ(F(∇u), H0(∇φ), N)) == 4.660348298920368e-6
@test norm(∂Ψuu(F(∇u), H0(∇φ), N)) ==60.735729041745294
@test norm(∂Ψφu(F(∇u), H0(∇φ), N)) == 1.2369035467980284e-5
@test norm(∂Ψφφ(F(∇u), H0(∇φ), N)) == 2.1878750641250348e-6
end




@testset "HardMagnetic_SoftMaterial3D" begin

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